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Finding the Third Proportional to 71,853 and 96,661

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Solution

The third proportional to 71,853 and 96,661 is: 130,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,853 : 96,661 = 96,661 : x
  2. Step 2: Convert to fraction form
    71,853/96,661 = 96,661/x
  3. Step 3: Cross multiply
    71,853x = 96,661 × 96,661
  4. Step 4: Simplify right side
    71,853x = 9,343,348,921
  5. Step 5: Solve for x
    x = 9,343,348,921/71,853
  6. Step 6: Final answer
    x = 130,034.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.